New preconditioning strategy for Jacobian-free solvers for variably saturated flows with Richards’ equation
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- 作者：Konstantin Lipnikov lipnikov@lanl.gov" class="auth_mail" title="E-mail the corresponding author ; David Moulton moulton@lanl.gov" class="auth_mail" title="E-mail the corresponding author ; Daniil Svyatskiy ; dasvyat@lanl.gov" class="auth_mail" title="E-mail the corresponding author
- 关键词：Richards&rsquo ; equation ; Variable saturated flows ; Nonlinear solver ; Picards&rsquo ; method
- 刊名：Advances in Water Resources
- 出版年：2016
- 出版时间：August 2016
- 年：2016
- 卷：94
- 期：Complete
- 页码：11-22
- 全文大小：2903 K
文摘
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Preconditioning strategy for Jacobian-free solvers for Richards’ equation is proposed.
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The strategy is based on a stable discretization of the continuum Jacobian.
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It simplifies the use of sophisticated advanced discretizations on polytopal meshes.
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The performance was improved in 3–20 times for challenging infiltration problems.